Timeline for Closed curve whose neighborhood is as large as possible
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12, 2015 at 20:19 | comment | added | Robert Israel | It doesn't need to be convex, but it does need to be a simple closed curve. | |
| Oct 12, 2015 at 20:11 | history | edited | Igor Rivin | CC BY-SA 3.0 |
added hypothesis
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| Oct 12, 2015 at 20:11 | comment | added | Igor Rivin | Yes, you are right, will fix. | |
| Oct 12, 2015 at 19:48 | comment | added | Thomas Richard | I think what's needed is smoothness rather than convexity to get that the area of an $\varepsilon$ neighborhood is $L\times\varepsilon$, where $L$ is the length of the curve, this is the first case of the tube formula. | |
| Oct 12, 2015 at 19:39 | history | answered | Igor Rivin | CC BY-SA 3.0 |